Trailing Zeros of Prime Product
CAT 2000 Slot 1 · Quantitative Ability · Easy · Number Systems
This is an easy Quantitative Ability question from the CAT 2000 Slot 1 paper. It tests Number Systems. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
Let be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of . With how many consecutive zeros will the product end?
- A.
1
- B.
4
- C.
5
- D.
10
A
Explanation
Zeros at the end of a product come from pairs of . Among prime numbers less than 100, and appear exactly once as prime factors. Thus, there is only one pair of , which means the product ends in exactly 1 zero.
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